Question

A cylinder has a height of 11 centimeters and a radius of 18 centimeters. What is its volume? Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

Answer 1

The volume \( V \) of a cylinder can be calculated using the formula:

\[
V = \pi r^2 h
\]

where \( r \) is the radius and \( h \) is the height.

Given:
- Radius \( r = 18 \) cm
- Height \( h = 11 \) cm
- Using \( \pi \approx 3.14 \)

Now, substitute the values into the formula:

\[
V = 3.14 \times (18^2) \times 11
\]

First, calculate \( 18^2 \):

\[
18^2 = 324
\]

Now, substitute this value into the volume formula:

\[
V = 3.14 \times 324 \times 11
\]

Next, calculate \( 324 \times 11 \):

\[
324 \times 11 = 3564
\]

Now, substitute this back into the volume calculation:

\[
V = 3.14 \times 3564
\]

Now, multiply:

\[
V \approx 3.14 \times 3564 \approx 11256.96
\]

Finally, rounding to the nearest hundredth, the volume of the cylinder is:

\[
\boxed{11256.96} \text{ cubic centimeters}
\]